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Finding the Fourth Proportional to 1,099.09, 1,648.46 and 406.09

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Solution

The fourth proportional to 1,099.09, 1,648.46 and 406.09 is: 609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.09 : 1,648.46 = 406.09 : x
  2. Step 2: Convert to fraction form
    1,099.09/1,648.46 = 406.09/x
  3. Step 3: Cross multiply
    1,099.09x = 1,648.46 × 406.09
  4. Step 4: Simplify right side
    1,099.09x = 669,419.00
  5. Step 5: Solve for x
    x = 669,419.00/1,099.09
  6. Step 6: Final answer
    x = 609.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.